Carter is ordering a taxi from an online taxi service. The taxi charges $2.50 just for
the pickup and then an additional $2 per mile driven. How much would a taxi ride
cost if Carter is riding for 7 miles? How much would a taxi ride cost that is m miles
long?

Answer:

should be C 8v3

Step-by-step explanation:

hope this helps you

Answer:

8V3

Step-by-step explanation:

To determine the value of the width, x, at which the cost of the two companies is the same, we can set up a system of equations representing the costs of the two companies.

Let's denote the cost of the first company as C1 and the cost of the second company as C2. The cost C1 includes the cost of the rock and the delivery fee, while the cost C2 also includes the cost of the rock and the delivery fee.

For the first company, the cost C1 can be expressed as:

C1 = 3.5x + 80,

where x represents the width (or the amount of rock in cubic feet).

Similarly, for the second company, the cost C2 can be expressed as:

C2 = 2.5x + 120.

To find the value of x at which the costs are the same, we need to set C1 equal to C2 and solve for x:

3.5x + 80 = 2.5x + 120.

By rearranging the equation, we can isolate x on one side:

\(3.5x - 2.5x = 120 - 80,\\1x = 40,\\x = 40.\)

Therefore, the value of the width, x, at which the cost of the two companies is the same is x = 40.

By substituting x = 40 back into either of the original equations, we can find the corresponding cost for both companies at that width.

The system of equations used to determine the value of the width, x, at which the cost of the two companies is the same is:

C1 = 3.5x + 80,

C2 = 2.5x + 120.

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Answer:

straight line

Step-by-step explanation:

The graph of the given line is a Straight line.

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given that, an equation, y = 6x-1, we need to tell what type of graph will it make,

y = 6x-1

Put x = 0,

y = -1

Put x = 1

y = 5

Put x = 0.5

y = 2

Points =

x = 0, 1, 0.5

y = -1, 5, 2

Plotting the graph, we will get a straight line, also, we know that, a linear equation will always make a straight line,

Hence, the graph of the given line is a Straight line.

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I got 9 7/9 by using a calculator

Answer:

it all correct because it is expanding

The length and width of the postcard are 5.5±0.5  and \(\frac{31}{8} \pm \frac{3}{8}\)

Given that, the machine will accept postcards whose length is between 5 inches and 6 inches. Let the length of the postcard be represented as x±y, therefore

x - y =5    equation 1

x+y=6      equation 2

Add equations (1) and (2), and we get

2x=11

x=5.5

Putting the value of x=5.5 into equation (1), we get y=0.5

Therefore, the length of the postcard can be represented by 5.5±0.5 inches

Given, that the machine will accept a postcard whose width is between \(\frac{7}{2}\) and \(\frac{17}{4}\) inches. Let the width of the postcard be represented as x±y, therefore

​x -y = \(\frac{7}{2}\)

x + y = \(\frac{17}{4}\)

adding both the equation

2x = \(\frac{31}{4}\)

x = \(\frac{31}{8}\)

Putting the value of x=\(\dfrac{31}{8}\)  into equation (1), we get \(y=\dfrac{3}{8}\) . Therefore the width of the postcard can be represented as \(\dfrac{31}{8} \pm \dfrac{3}{8}\) inches.

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Answer:

6 1/10 mixed 61/10 improper

Step-by-step explanation:

The average speed is the ratio of the total distance to the total time. Then the average speed of the airplane will be 698.19 miles per hour.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

An airplane files 867 miles with a constant speed of 612 mph and then another 1984 miles with a constant speed of 744 mph.

Then time taken for the first trip will be

t₁ = 867 / 612

t₁ = 1.4167 hours

Then time taken for the second trip will be

t₂ = 1984 / 744

t₂ = 2.6667 hours

Then the average speed is the ratio of the total distance to the total time.

The total distance will be

Total distance = 867 + 1984

Total distance = 2851 miles

The total time will be

Total distance = 1.4167 + 2.6667

Total distance = 4.0834 hours

Then the average speed will be

Average speed = 2851 / 4.0834

Average speed = 698.19 mi/h

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The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.

The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.

The conversion factor from inches to meters is 0.0254 meters per inch.

Width in meters = 14.60 inches * 0.0254 meters/inch

Height in meters = 10.95 inches * 0.0254 meters/inch

Area = Width in meters * Height in meters

We calculate the area:

Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters

Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters

Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters

Now, we determine the number of significant figures.

The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.

Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.

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A hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. The statement that is true is, a hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. A hypothesis is a suggested explanation of a phenomenon or observed data that is testable.

Hypotheses are more detailed, and are written to explain precisely what you think is going to occur in your research and the reason for that prediction. A hypothesis will be rejected if it does not fit the data, whereas a theory will be modified to fit the data.

A hypothesis is more like a forecast, and a theory is more like a law that explains how certain events operate. Thus, we can conclude that a hypothesis is a specific prediction arising from the theory.

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The new coordinates of the point (-7, -6) are (-6, 7).

From the question, we have the following parameters that can be used in our computation:

(x, y) = (-7, -6)

The rule is given as

A rotation of 90° clockwise around the origin.

Mathematically, this can be represented as

(x, y) = (y, -x)

So, we have

Image = (-6, 7)

Hence, the image is (-6, 7)

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The possible values of the number of dollars in the original pile of money is on the interval (200, 440)

We are told that Jeri finds a pile of money with at least $200.

Now, let x be  the additional amount over the  original amount of $200.

The greater side of the  inequality will be expressed as;

Original  pile  =  (200 + x)

After  she gives away $80 and as such she has;  (120 + x)

And  she gives (1/3)  of  this away  which means she will have;

=  (1/3) (120 + x)

Thus, she  must  have  (2/3)  of this left

=  (2/3)(120 + x) = amount in her right pocket

The lesser  side of the inequality is expressed as;

(x + 200)  -  200   =   x

Thus, we now have  that;

2[120 + x ]/3  >  x

240 + 2x  >  3x

240 > 3x - 2x

240 > x

x < 240

Thus, we can conclude that the original  amount could be on the interval   (200, 440)

The possible values of the number of dollars in the original pile of money is on the interval (200, 440)

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Answer:

Below.

Step-by-step explanation:

Reflection in x-axis: (x, y) ----> (x, -y).   (x value stays the same)

Reflection in y-axis: (x, y) ----> (-x, y).   ( y value stays the same)

Answer:

\(252 + 10h \ge 575\)

Step-by-step explanation:

Given

\(Savings = 252\)

\(Target=575\) -- atleast

\(Earnings = \$10\) per hour

Required

Represent as an inequality

Suppose that she babysits for h hours, her total earnings would be:

\(Total\ Earnings = 10h\)

In inequalities:

At least means \(\ge\)

So, when the total earnings is added to her savings, we have:

\(Savings + Total\ Earnings \ge Target\)

Substitute values for Savings, Total Earnings and Target

\(252 + 10h \ge 575\)

Answer:

acceleration is 0.2m/s²

Step-by-step explanation:

Vf=Vi+at

Lets susbtitute our known variables into the equation

2.2=1.4+a(4)

We get

a=0.2m/s²

You need to have a password with 5 letters followed by 3 odd digits between 0 and 9, inclusive, then the 473,616,000 choices are used.

It is clear from mathematical and statistical logic that the question was written incorrectly and that some of the digits were repeated. Thus, the appropriate query is:

"You need to have a password with 5 letters followed by 3 odd digits between 0 and 9, inclusive. If the characters and digits cannot be used more than once, how many choices do you have for your password?"

So,

We can write,

We all know that there are 26 letters available in the alphabet and there are just 5 numbers between 0 and 9.

We are now given the situation of how many passwords can we make out of the criteria of having 5 letters that cannot be repeated and 3 odd digits from 0-9.

We cannot repeat the numbers and letters, thus our password will look something like this, LLLLLNNNN, where L is a letter and N is a number. Let us note that  we cannot use the characters and digits more than once.

This is how we will solve the probable number of passwords.

= 26 x 25 x 24 x 23 x 22 x 5 x 4 x 3

5 letters from 26 with no repetition => 26*25*24*23*22 different choices.

Odd digits are 1, 3, 5, 7 and 9 => 5 different digits to choose

3 digits from 5 with no repetition => 5*4*3 = 60

Then, the total number of choices is: 26*25*24*23*22*60 = 473,616,000

Therefore,

You need to have a password with 5 letters followed by 3 odd digits between 0 and 9, inclusive, then the used choices are = 473,616,000

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Answer:

Physics.

So, distance is speed times time:

10*2

= 20 km

He is very fit btw.

Answer:

20km

Step-by-step explanation:

The unit rate for this question is 10km an hour,

To find how much this person will run in 2 hours we multiple the unit rate (10km) by 2.

10 * 2 = 20

Therefore the person runs 20km in 2 hours.

Hope this helps!

An equation is formed of two equal expressions. The equation 7*e^0.1t=47 can be expressed as t=[ln (47/7)]/0.1.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation 7*e^0.1t=47 in terms of logarithm in terms of base-e can be solved as,

\(7e^{0.1t}=47\\\\e^{0.1t}=\dfrac{47}{7}\\\\0.1 t = {\rm ln}(\dfrac{47}{7})\\\\t = \dfrac{ {\rm ln}(\frac{47}{7})}{0.1}\)

Hence, the equation 7*e^0.1t=47 can be expressed as t=[ln (47/7)]/0.1.

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By using the formula for average speed, it can be calculated that

Average speed for the total trip = 33.33 miles per hour

What is average speed?

At first it is important to know about speed

Speed is the distance travelled by an object per unit time.

Average speed is calculated by dividing the total distance covered by the total time taken

Distance Sara travelled during the first part of the journey = 200 miles

Speed = 50 miles per hour

Time taken = 200 \(\div\) 50 = 4 hours

Distance Sara travelled during the second part of the journey = 200 miles

Speed = 25 miles per hour

Time taken = 200 \(\div\) 25 = 8 hours

Total distance travelled = 200 + 200 = 400 miles

Total Time taken = 4 + 8 = 12 hours

Average speed for the total trip = 400 \(\div\) 12 = 33.33 miles per hour

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Answer

an=a1+(n-1)d

Step-by-step explanation:

a2-a=9_2=7

a3-a2=16-9=7

a4-a3=23-16=7

a5-a4=30-23=7

Answer:

98

Step-by-step explanation:

We can plot in the coordinate plane if an ordered pair is known to us.

The space or plane in where location of points is represented by a pair of numerical terms with respect to some reference lines or reference direction is called coordinate plane.

let we have some pair of numerical terms such as A (4, 9) and B (6, 10)

that is needed to plot in the coordinate plane.

At first, we will plot the point A (4, 9)

we will start from the origin and move horizontally along the direction of X axis up to 4 unit. In the next, start again and move up vertically in the direction of y axis up to 9 unit. And we will draw a point at the final location.

By the same way, we can plot the point B.

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The equation that is an example of a linear equation in two variables is (d) 3x−6y=8

From the question, we have the following parameters that can be used in our computation:

Type of equation: Linear equation

Number of variables = 2

As a general rule, a linear equation with two variables can take any of the following forms (if the variables are x and y)

y = mx + c

ax + by = c

y - Y = m(x - X)

Using the above forms as a guide, we have the following:

3x−6y=8

The above equation is an illustration of ax + by = c

Hence, the required equation is (d) 3x−6y=8

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Answer:

:)

Step-by-step explanation:

quiz scores:

a. arrange them all from least to greatest to figure out the median first

your quiz: 15, 16, 17, 18, 19     middle # = 17        median = 17

friend's quiz: 12, 13, 17, 20, 20     middle # = 17       median = 17

now for mean add all of your quiz scores up and divide by how many #s

15 + 16 + 17 + 18 + 19 = 85 / 5 = 17          mean = 17

now your friend's:

12 + 13 + 17 + 20 + 20 = 82 / 5 = 16.4       mean = 16.4

mode is which number is used the most

your mode = you don't have a mode       your friend's mode = 20

b. you have a higher mean than your friend

world populations:

a. range is to subtract the smallest number from the largest

803 - 31 = 772

b. mean is adding it all up and dividing by how many numbers there are:

803 + 487 + 348 + 368 + 730 + 31 = 2767 / 6 = 461.17

median is arranging them in order and finding the middle #

31, 348, 368, 487, 730, 803

368 + 487 = 855 / 2 = 427.5

mean = 461.17

median = 427.5

mode = no mode

tomato plants:

a. range is subtracting the smallest from the largest

52 - 36 = 16

b. mean is adding all the #s and dividing by how many #s there are:

36 + 45 + 52 + 40 + 38 +41 + 50 + 48 = 350 / 8 = 43.75

median is the middle from least to greatest

36, 38, 40, 41, 45, 48, 50, 52

41 + 45 = 86 / 2 = 43

mean = 43.75

median = 43

mode = no mode

hope this helps! :)

This relationship is a function because the plant body can be of only one particular height at a time.

A function can be defined as a relationship between a set of inputs having only one output each. In other words, a function is basically a relationship between inputs and outputs; where each input is related to only one output at a time. Functions are said to occur when the recorded value of x is varied each time. Since we know that the height of the plant (the x-value) varies by each day, Therefore it is a function.

thus we can conclude that the correct option for the relationship between the height of the plant and the number of days is option D, which tells that this relationship is a function because the plant body can only be of one particular height at a time.

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Answer:

Step-by-step explanation:

a₂ - a₁ = 20 - 4 = 16

a₃ - a₂ = 100 - 16 = 84

Since a₂ - a₁ ≠ a₃ - a₂, the sequence is not arithmetic.

a₂/a₁ = 20/4 = 5

a₃/a₂ = 100/20 = 5

Since a₂/a₁ = a₃/a₂ = 5, the sequence is geometric with a common ratio of 5.

Answer:

9.28

Step-by-step explanation:

hope this help!!!

By using the Cauchy-Riemann equations on a real-valued function, it can be proven that the function f(z) is constant in the domain D. This is important for understanding analytic functions in complex analysis.

To prove that if f(z) is real-valued for all z in D, then f(z) must be constant throughout D, let a function f be analytic everywhere in a domain D. We know that a real-valued function is said to be a function whose values lie on the real line. In the case of the complex plane, a function whose values lie on the real line is real-valued.

The Cauchy-Riemann equations, which define the necessary conditions for a function f(z) to be analytic in a domain, say that the imaginary component of f(z) is determined by its real component.

To be more precise, if f(z) is real-valued for all z in D, then we can say that:u(x, y) = f(z),v(x, y) = 0

By definition, the Cauchy-Riemann equations can be stated as:

∂u/∂x = ∂v/∂y∂u/∂y = -∂v/∂x

Taking the first equation, we get:

∂u/∂x = ∂v/∂y => ∂v/∂y = 0

Since v is equal to 0 for all values of x and y, the above equation reduces to ∂u/∂x = 0, which implies u is constant with respect to x.

Similarly, taking the second equation, we get:

∂u/∂y = -∂v/∂x => ∂u/∂y = 0

Since u is equal to a constant for all values of x and y, the above equation reduces to ∂v/∂y = 0, which implies v is constant with respect to y. Since u and v are both constant with respect to their respective variables, u + iv = f(z) is a constant with respect to z throughout the domain D. Thus, we have proved that if f(z) is real-valued for all z in D, then f(z) must be constant throughout D.

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Step-by-step explanation:

Parent function: f(x) = x²

f(x) = 2(x + 3)² − 5

The parent function is translated 3 units left, 5 units down.  It is dilated by a factor of 2.  There is no reflection.

The parent function f(x) = x² is translated horizontally 3 units to the left, dilated 2 units vertically, and translated vertically 5 units to the down.

Given that:

Parent function is f(x) = x²

It is required to describe the translations, reflections, and dilations for the function f(x) = 2(x + 3)² - 5

The first transformation is f(x) = x² changed to f'(x) = (x+3)².

That is, f(x) changed to f(x+3).

So, there is a translation of f(x) of 3 units to the left.

Then, f'(x) changed to f''(x) = 2(x+3)².

Here f'(x) changed to 2f'(x).

This is the dilation of the function vertically by a scale factor of 2.

Then f''(x) changed to f'''(x) = 2(x + 3)² - 5, which is the new function.

Here f'''(x) changed to f'''(x) - 5.

So, there is a vertical translation down to 5 units.

There are no reflections.

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So, the system of equations representing this situation is: n + d + q = 95; 0.05n + 0.10d + 0.25q = 13.70; q = d + 11.

To represent this situation with a system of equations, we can use the following equations:

The total number of coins: n + d + q = 95

The total value of the coins in dollars: 0.05n + 0.10d + 0.25q = 13.70

The relationship between the number of quarters and dimes: q = d + 11

The first equation represents the total number of coins, which is given as 95.

The second equation represents the total value of the coins in dollars, which is given as $13.70. The values of each coin (nickel, dime, quarter) are multiplied by their respective quantities (n, d, q) and summed up to obtain the total value.

The third equation represents the relationship between the number of quarters (q) and dimes (d), which states that there are 11 more quarters than dimes.

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